The number 48162
48162 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 23 × 349. Divisors (16): 1, 2, 3, 6, 23, 46, 69, 138, 349, 698, 1047, 2094, 8027, 16054, 24081, 48162.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48162 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48162 is composite. Its prime factorisation is
- 3
The divisors add up to 100800; without 48162 itself that is 52638, so 48162 is abundant (52638 is more than 48162). Euler's totient φ(48162) = 15312 numbers up to 48162 share no factor with it.
- 4
The digits of 48162 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48162 = 2 \times 3 \times 23 \times 349 \]
48162 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 100800 |
| Euler totient φ(n) | 15312 |
| Square | 2319578244 |
| Cube | 111715527387528 |
| Square root | 219.458424 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.8162 × |
48162 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand one hundred and sixty-two |
| Binary (base 2) | 1011110000100010 |
| Octal (base 8) | 136042 |
| Hexadecimal (base 16) | BC22 |
| Base 3 | 2110001210 |
| As time | 48162 seconds = 13 h 22 min 42 s |
Is 48162 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48162 ÷ 2 = 24081) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48162 ÷ 3 = 16054) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (48162 ÷ 6 = 8027) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48162 a prime number?
No. 48162 = 2 × 3 × 23 × 349, so it is divisible by 2.
What are the factors of 48162?
1, 2, 3, 6, 23, 46, 69, 138, 349, 698, 1047, 2094, 8027, 16054, 24081, 48162.
What is 48162 in binary?
1011110000100010 (hexadecimal BC22, octal 136042).
What is the square root of 48162?
About 219.4584.
Is 48162 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 48162?
It is a composite number with 16 divisors.